288006 has 16 divisors (see below), whose sum is σ = 601344. Its totient is φ = 91784.

The previous prime is 287977. The next prime is 288007. The reversal of 288006 is 600882.

288006 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288006.

It is not an unprimeable number, because it can be changed into a prime (288007) by changing a digit.

288006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (37584).

2²⁸⁸⁰⁰⁶ is an apocalyptic number.

288006 is an abundant number, since it is smaller than the sum of its proper divisors (313338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288006 is a wasteful number, since it uses less digits than its factorization.

288006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 288006 is about 536.6619047408. The cubic root of 288006 is about 66.0390035757.

Adding to 288006 its reverse (600882), we get a palindrome (888888).

The spelling of 288006 in words is "two hundred eighty-eight thousand, six".